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Finding the Third Proportional to 6,615.56 and 8,984.81

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Solution

The third proportional to 6,615.56 and 8,984.81 is: 12,202.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.56 : 8,984.81 = 8,984.81 : x
  2. Step 2: Convert to fraction form
    6,615.56/8,984.81 = 8,984.81/x
  3. Step 3: Cross multiply
    6,615.56x = 8,984.81 × 8,984.81
  4. Step 4: Simplify right side
    6,615.56x = 80,726,855.66
  5. Step 5: Solve for x
    x = 80,726,855.66/6,615.56
  6. Step 6: Final answer
    x = 12,202.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.